Raman has some 50-paisa coins, some 2-rupee coins, some 1-rupee coins and some 5-rupee coins. The value of all the coins is Rs. 50. Number of 2-rupee coins is 5 more than that of the 5 rupee coins. 50 paisa coins are double in number than 1 rupee coins. Value of 50-paisa coins and 1-rupee coins is Rs. 26. How many 2-rupee coins does he have?
Solution
Correct Answer: Option C
Number of 5 rupee coin = y, value = Rs. 5y
Number of 2 rupee coins = 5 + y, value = Rs. 10 + 2y
Number of 1 rupee coins = x, value = Rs. x
Number of 50 paisa coins = 2x, value = Rs. x
According to the problem, Value of 50-paisa coins and 1-rupee coins is Rs. 26
Hence, x + x = 26
⇒ x = 13
Hence, number of 1 rupee coins = 13
Number of 50 paisa coins = 26
The value of all the coins is Rs. 50.
Hence, 26 + 5y + 10 + 2y = 50
⇒ 7y + 36 = 50
⇒ 7y = 14
⇒ y = 2
Number of 2 rupee coins = y + 5 = 7
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